Undefined Terms and Definitions. Undefined Terms Point simply a location represented by a dot named with a capital letter no shape no size.

Slides:

Advertisements

Similar presentations

Geometry Chapter 1-1. Geometry Chapter 1-1 Why do chairs sometimes wobble? What do the feet of a three legged stool represent? Points that lie in the.

Advertisements

Geometry Terms: Chapter 1.

Geometry Notes Section 1-1.

Chapter 1: Tools of Geometry

Chapter 1: Tools of Geometry

1.2 Points, Lines, and Planes

Points, Lines, and Planes

Components of Mathematical System

Introduction to Geometry: Points, Lines, and Planes

Basic Geometric Figures

NCTM Standards: 3, 6, 8, 9, Points, Lines, & Planes PointLinePlane Definition Model Drawn Named By: Facts Words/ Symbols As a dotWith an arrow.

A Game and Some Geometry

1 1-3 Points, Lines, and Planes Objectives: Properly name points, lines, and planes Define collinear points, coplanar points, and coplanar lines Define.

LESSON 1.1 Points, Lines and Planes Objective: I will be able to… 1.Identify and model points, lines, and planes as well as intersecting lines and planes.

Geometry  Definition: a statement that defines a mathematical object.  Undefined term: mathematical term that is not defined using other mathematical.

Basic Geometry Review Unit 3 Lesson 1 We will be identifying basic geometric terms. Objectives:  I can Identify and model points, lines, planes, and angles.

Points, Lines, & Planes Section 1-1. Undefined Terms in Geometry There are 5 undefined terms in geometry that have no formal definition, but that we have.

Points, Lines and Planes

Bellringer Discuss with your shoulder partner the following situation… Why does a four-legged chair sometimes wobbles, but a three legged chair never.

Lesson1.1. Three building blocks of geometry are points, lines, and planes. A point is the most basic building block of geometry. It has no size. It has.

1.2 Points, Lines, and Planes. What is a definition? Known words used to describe a new word Known words used to describe a new word Undefined terms –

Section 1 – Points, Lines, and Planes

Why do chairs sometimes wobble?

Why do chairs sometimes wobble? Have you ever noticed that a four legged chair sometimes wobbles, but a three- legged stool never wobbles?

Cover Slide Identifying Points, Lines And Planes.

Chapter 1 – Reasoning in Geometry 1.2 – Points, Lines, and Planes.

Warm-up 1. 5x + 4(x – 1) = (x+2) = 3(x – 6) x – 4(x+1) = 2x + 20.

Lesson 1 – 1 Points, Lines, and Planes

+ 1-1 Points, Lines, and Planes. + Real-Life + Vocabulary Undefined Terms- point, line, and plane are considered undefined terms because they are only.

1-1 Points, Lines, and Planes

1.2 Points, Lines and Planes

Points, Lines and Planes Objectives: (1)To identify and model points, lines, and planes (2)To identify collinear and coplanar points and intersecting lines.

Do Now - Geometry Take out your homework Please sit quietly and be ready to receive your text books.

Activity 1 Points, Lines, and Planes Section 1.1.

Basic Terms of Geometry. Basic Geometric Figures Undefined terms: ♥Line ♥Point ♥Plane.

Solve each equation. 1.5(x – 6) = 402.5b = 2(3b – 8)3.2y + 6y = 15 – 2y x + 8 > 20 Absolute Value Equations and Inequalities Solve each inequality.

Lesson 1.1- Points. Lines and Planes Objective: The student will be able to make and describe fundamental sketches. The student will also be able to understand.

POINTS, LINES, AND PLANES 9/8/11. Point – A location. It has neither shape nor size Named by: A capital Letter Example: Point A Line – made up of points.

1.2 Points, Lines and Planes

1.1 Points, Lines, & Planes p. 6. What is a definition? Known words used to describe a new word Known words used to describe a new word Undefined terms.

Points, Lines and Planes Objective: To learn to identify, classify and name points, space, line, collinear points, plane, coplanar, postulate and axiom.

1.1 Points, Lines, and Planes

Points Lines and Planes

Quick Warm-Up Find three objects in the classroom that can be represented by each geometric figure. Point Line Segment Angle Line Plane.

Terms, Notation, and Representation

1.1 Points, Lines, and Planes

Name:__________ warm-up 1-1

Points, Lines, & Planes Section 1-1.

Mathematical Practices Then/Now New Vocabulary

Lesson 1-2 Points, Lines, and Planes (page 5)

Honors Geometry Chapter 1 Section 1.

1.1 Points, Lines, and Planes

Points, Lines, and Planes

Identify and model points, lines, and planes.

Term Definition How to Name… Picture.

undefined term definition defined term space point line plane

Points, Lines, and Planes

1-2 Points, Lines, and Planes

Chapter 1: Tools of Geometry

undefined term definition defined term space point line plane

Chapter 1 Section 1 Points, Lines, and Planes

VOCABULARY UNDEFINED TERMS (Intuitive ideas – not “defined” in space – cannot take definite measurements) Point Line Plane.

1.1 Points, Lines, and Planes

Points, Lines, and Planes

Points, Lines, and Planes

Points, Lines, and Planes

Points, Lines, and Planes

Bell Work Decide whether the object would model a point, line or plane. (a) (b) (c) (d) a car antenna.

Presentation transcript:

Undefined Terms and Definitions

Undefined Terms Point simply a location represented by a dot named with a capital letter no shape no size

Undefined Terms (cont.) Line made up of points no thickness or width drawn with an arrowhead at each end named by the letters representing two points on the line or by a lowercase script letter has symbol in label above two letters SL or LS

Undefined Terms (cont.) Plane flat surface made up of points no depth extends infinitely in all directions drawn as a shaded, slanted four-sided figure named by a capital script letter or by the letters naming three points in the plane that are not on the same line

Definitions (cont.) Collinear - points on the same line Coplanar - points that lie on the same plane Intersection – The point(s) in common among figures Space – A boundless three-dimensional set of all points.Space can contain lines and planes. Locus – A set of points that all satisfy a particular condition.

Example 1-1d Answer: line c, Answer:plane P, plane XYZ, plane ZYX, plane YZX, plane XZY, plane ZXY, plane YXZ Use the figure to name each of the following. a. a line containing point X b. a plane containing point Z

Example 1-2d Answer: point Answer: plane VISUALIZATION Name the geometric shape modeled by each object. a. a colored dot on a map used to mark the location of a city b. the ceiling of your classroom

Example 1-4e a. How many planes appear in this figure? Answer: two

Example 1-4f b. Name three points that are collinear. Sample answer: A, X, and Z

Example 1-4g c. Are points X, O, and R coplanar? Explain. Answer: Points X, O, and R all lie in plane T, so they are coplanar.

Example 1-4h Answer: R d. At what point do and intersect?